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138468736 = 27729732
BaseRepresentation
bin10000100000011…
…01110110000000
3100122112221101201
420100031312000
5240421444421
621423510544
73300651640
oct1020156600
9318487351
10138468736
117118667a
123a458454
13228c2383
1414566520
15c252b91
hex840dd80

138468736 has 96 divisors (see below), whose sum is σ = 330663600. Its totient is φ = 56512512.

The previous prime is 138468709. The next prime is 138468779. The reversal of 138468736 is 637864831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1896796 + ... + 1896868.

Almost surely, 2138468736 is an apocalyptic number.

138468736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165331800).

138468736 is an abundant number, since it is smaller than the sum of its proper divisors (192194864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138468736 is an frugal number, since it uses more digits than its factorization.

138468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 111 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 138468736 is about 11767.2739408922. The cubic root of 138468736 is about 517.3493517790.

The spelling of 138468736 in words is "one hundred thirty-eight million, four hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 73 112 116 128 146 203 224 232 292 406 448 464 511 584 812 896 928 1022 1168 1624 1856 2044 2117 2336 3248 3712 4088 4234 4672 5329 6496 8176 8468 9344 10658 12992 14819 16352 16936 21316 25984 29638 32704 33872 37303 42632 59276 65408 67744 74606 85264 118552 135488 149212 154541 170528 237104 270976 298424 309082 341056 474208 596848 618164 682112 948416 1081787 1193696 1236328 1896832 2163574 2387392 2472656 4327148 4774784 4945312 8654296 9890624 17308592 19781248 34617184 69234368 138468736